10727976960 has 520 divisors, whose sum is σ = 39961595520. Its totient is φ = 2749759488.

The previous prime is 10727976949. The next prime is 10727976967. The reversal of 10727976960 is 6967972701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a zygodrome in base 8.

It is a junction number, because it is equal to n+sod(n) for n = 10727976897 and 10727976906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10727976967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 48107409 + ... + 48107631.

Almost surely, 2^10727976960 is an apocalyptic number.

10727976960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10727976960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19980797760).

10727976960 is an abundant number, since it is smaller than the sum of its proper divisors (29233618560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10727976960 is an equidigital number, since it uses as much as digits as its factorization.

10727976960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 10727976960 in words is "ten billion, seven hundred twenty-seven million, nine hundred seventy-six thousand, nine hundred sixty".